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Finding the Fourth Proportional to 25,656.64, 38,484.64 and 8,126.56

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Solution

The fourth proportional to 25,656.64, 38,484.64 and 8,126.56 is: 12,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656.64 : 38,484.64 = 8,126.56 : x
  2. Step 2: Convert to fraction form
    25,656.64/38,484.64 = 8,126.56/x
  3. Step 3: Cross multiply
    25,656.64x = 38,484.64 × 8,126.56
  4. Step 4: Simplify right side
    25,656.64x = 312,747,736.04
  5. Step 5: Solve for x
    x = 312,747,736.04/25,656.64
  6. Step 6: Final answer
    x = 12,189.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.